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Finding the Third Proportional to 136,173 and 292,020

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Solution

The third proportional to 136,173 and 292,020 is: 626,230.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,173 : 292,020 = 292,020 : x
  2. Step 2: Convert to fraction form
    136,173/292,020 = 292,020/x
  3. Step 3: Cross multiply
    136,173x = 292,020 × 292,020
  4. Step 4: Simplify right side
    136,173x = 85,275,680,400
  5. Step 5: Solve for x
    x = 85,275,680,400/136,173
  6. Step 6: Final answer
    x = 626,230.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.